Equation of the line which passes through the two points, Mathematics

Example: Write down the equation of the line which passes through the two points (-2, 4) and (3, -5).


At first glance it might not appear which we'll be capable to use the point-slope form of the line since this need a single point (we've got two) & the slope (that we don't have). However, this fact that we've got two points isn't actually a problem; actually, we can employ these two points to find out the missing slope of the line since we do know that we can always determine that from any two points on the line.

Thus, let's begin my finding the slope of the line.

                                  m = -5 - 4 / 3 - ( -2)  = - 9 /5

Now, which point have to we employ to write down the equation of the line? Actually we can use either point. To illustrate this we will use both.

First, we'll use ( -2, 4) .  Now that we've gotten the point all that we have to do is plug into the formula. We will employ the second form.

                              y = 4 - 9/5 ( x - ( -2)= ( 4 - 9/5 (x + 2)

Now, let's use (3, -5).

y = -5 - 9/5 (x - 3)

Okay, we claimed that it wouldn't matter that point we utilized in the formula, however these sure look like distinct equations.  However it turns out that these actually are the same equation. To illustrate this all that we have to do is distribute the slope through the parenthesis and then simplify.

Following is the first equation.

y = 4 - 9 /5( x + 2)

= 4 - 9/5 x - 18/5

= - (9/5) x + 2/5

Following is the second equation.

y = -5 - 9/5 ( x - 3)

= -5 - 9/5 x + 27/5

= - 9 /5x + 2/5

Thus, sure enough they are the same equation.

Posted Date: 4/6/2013 5:58:39 AM | Location : United States

Related Discussions:- Equation of the line which passes through the two points, Assignment Help, Ask Question on Equation of the line which passes through the two points, Get Answer, Expert's Help, Equation of the line which passes through the two points Discussions

Write discussion on Equation of the line which passes through the two points
Your posts are moderated
Related Questions
It refers to the ratio of the explained variation to the total variation and is utilized to measure the strength of the linear relationship. The stronger the linear relationship th

in the form of linear graph interpret the ralationship between two quantities

If  the  ratios  of  the  polynomial ax 3 +3bx 2 +3cx+d  are  in  AP,  Prove  that  2b 3 -3abc+a 2 d=0 Ans: Let p(x) = ax 3 + 3bx 2 + 3cx + d and α , β , r are their three Z

Show that the points (3, 0), (4, 5), (-1, 4) and (-2, -1) taken in order are the vertices of a rhombus. Also find the area of the rhombus.

5 years however, a man's age will be 3times his son's age and 5 years ago, he was 7 times as old as his son.    Find their present ages.

a deposit of 10,000 was made to an account the year you were born after 12 years the account is worth 16,600 what is the simple interest rate did the account earn?

Value Of The Game The game value refers to the average pay off per play of the game over an extended period of time

1. Show that there do not exist integers x and y for which 110x + 315y = 12. 2. If a and b are odd integers, prove that a 2 +b 2 is divisible by 2 but is NOT divisible by 4. H

The unit circle will be parametrized by (cosw, sinw). Provide a point on it, the region cut out by circle, the x-axis, and the line from the origin to this point has covered area w

Now we have to look at rational expressions. A rational expression is a fraction wherein the numerator and/or the denominator are polynomials.  Here are some examples of rational e